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Semi-guided waves in integrated optical waveguide structures / von M. Sc. Lena Ebers ; Erster Gutachter: Prof. Dr. Jens Förstner, Zweiter Gutachter: Prof. Dr. Carsten Rockstuhl. Paderborn, 2022
Inhalt
Abstract
Zusammenfassung
Introduction
Optical waveguide theory
Maxwell's equations
Dielectric waveguides
Slab waveguide
Step-index fiber
Power orthogonality
Slab waveguide discontinuities
Oblique propagation in dielectric slab waveguides
Critical angles
Excitation of wave bundles
Excitation by a waveguide mode
Power transmittance
Finite element method
Theory
Weak formulation
Galerkin-method
Boundary conditions
Settings in COMSOL
Bent slab waveguides
Spiral modes theory
Mathematical formulation
Bend modes
OAM modes
Results
Implementation
Spiral mode eigenvalues
Mode profiles
Polarization
Bent corner and step configurations
2-D bent structures
Bent corner
Bent step
3-D wave bundles in bent steps
Optical dielectric microresonators
4-port rectangular microresonator
Single cavity resonator
Add-drop filter
Directly coupled cavities
Interpretation in terms of leaky modes
Wavelength filter
Indirectly coupled cavities
Circular cavities
Integrated optical waveguide lens
Angular spectrum representation of optical fields
2-D curved interfaces
Rotation of the coordinate system
Calculation of the scattered fields
Examples
Two curved surfaces
Scattered fields from the first interface
Scattered fields from the second interface
Examples
3-D slab waveguide lens
Expansion of the 2-D COMSOL solution
Single interface
Two interfaces
Optimization
Mathematical formulation
Genetic algorithm
Pattern-search algorithm
Optimized 3-D slab waveguide lens
Modal matching method for 3-D simulations of waveguide tapers
Refractive index profile
Finite element modal matching method
Tapered silicon layer on Ti:LN waveguides
Linear taper
Coupling efficient taper
Optimization
Particle swarm optimization
Results
Nonlinear interaction in LNOI waveguides
Classical nonlinear optics
Nonlinear coupling in waveguides
Parametric down-conversion
Properties of the nonlinear susceptibility
Quasi-phase-matched structures
Phase-matched structures
Oblique excitation pumpscheme
Conclusion and outlook
Literature
List of Figures
List of Tables
Notations
Symbols
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